Q: What are the factor combinations of the number 271,682,375?

 A:
Positive:   1 x 2716823755 x 5433647525 x 10867295125 x 21734591373 x 1978751583 x 1716256865 x 395757915 x 34325
Negative: -1 x -271682375-5 x -54336475-25 x -10867295-125 x -2173459-1373 x -197875-1583 x -171625-6865 x -39575-7915 x -34325


How do I find the factor combinations of the number 271,682,375?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 271,682,375, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 271,682,375
-1 -271,682,375

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 271,682,375.

Example:
1 x 271,682,375 = 271,682,375
and
-1 x -271,682,375 = 271,682,375
Notice both answers equal 271,682,375

With that explanation out of the way, let's continue. Next, we take the number 271,682,375 and divide it by 2:

271,682,375 ÷ 2 = 135,841,187.5

If the quotient is a whole number, then 2 and 135,841,187.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 271,682,375
-1 -271,682,375

Now, we try dividing 271,682,375 by 3:

271,682,375 ÷ 3 = 90,560,791.6667

If the quotient is a whole number, then 3 and 90,560,791.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 271,682,375
-1 -271,682,375

Let's try dividing by 4:

271,682,375 ÷ 4 = 67,920,593.75

If the quotient is a whole number, then 4 and 67,920,593.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 271,682,375
-1 271,682,375
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15251251,3731,5836,8657,91534,32539,575171,625197,8752,173,45910,867,29554,336,475271,682,375
-1-5-25-125-1,373-1,583-6,865-7,915-34,325-39,575-171,625-197,875-2,173,459-10,867,295-54,336,475-271,682,375

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